{"id":88,"date":"2022-04-13T09:57:02","date_gmt":"2022-04-13T09:57:02","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=88"},"modified":"2025-03-05T07:25:58","modified_gmt":"2025-03-05T07:25:58","slug":"d-17-graph-a-horizontal-or-vertical-line","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/d-17-graph-a-horizontal-or-vertical-line\/","title":{"rendered":"D.17 Graph a horizontal or vertical line"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#02047c;text-transform:uppercase\"><strong>Graph a horizontal or vertical line<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-04d9d6410ea0aa79bd5fd62d138d8458\" style=\"color:#74008b;text-transform:uppercase\">key notes:<\/p>\n\n\n\n<p class=\"has-large-font-size\">The&nbsp;graph of&nbsp;x=3 &nbsp;is a vertical line.&nbsp;every x value is 3, including the x-intercept<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Graphing a Horizontal Line:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list has-large-font-size\">\n<li>A horizontal line is parallel to the x-axis.<\/li>\n\n\n\n<li>The equation of a horizontal line is of the form y = k, where k is a constant.<\/li>\n\n\n\n<li>The y-coordinate remains constant for all points on a horizontal line.<\/li>\n\n\n\n<li>To graph a horizontal line, locate the y-intercept (where it crosses the y-axis) and draw a straight line through that point.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-large-font-size\"><strong>Graphing a Vertical Line:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list has-large-font-size\">\n<li>A vertical line is parallel to the y-axis.<\/li>\n\n\n\n<li>The equation of a vertical line is of the form x = h, where h is a constant.<\/li>\n\n\n\n<li>The x-coordinate remains constant for all points on a vertical line.<\/li>\n\n\n\n<li>To graph a vertical line, locate the x-intercept (where it crosses the x-axis) and draw a straight line through that point.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Graph the equation y = 3. It represents a horizontal line where every point on the line has a y-coordinate of 3.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Important Tips:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list has-large-font-size\">\n<li>Remember that a horizontal line has a slope of 0, and a vertical line has an undefined slope.<\/li>\n\n\n\n<li>Pay attention to the intercepts (x-intercept for vertical lines, y-intercept for horizontal lines) when graphing.<\/li>\n\n\n\n<li>Use a ruler to ensure straight lines when drawing the graph.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-large-font-size\"><strong>Applications:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list has-large-font-size\">\n<li>In real-world problems, horizontal and vertical lines might represent constant values or limits in various contexts.<\/li>\n\n\n\n<li>In physics, vertical lines can represent time while horizontal lines can represent constant values like velocity.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f3a8a8\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-primary-color has-text-color has-link-color wp-elements-487d302936cb87c78ab667a5e7f71894\">Graph this equation:<br>y=2<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-31ce257d208edcb0bd8cf2e3d098e5d2\" style=\"color:#b00012\"><br>Click to select points on the graph.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-24-2.png\" alt=\"\" class=\"wp-image-11633\" style=\"width:452px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-24-2.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-24-2-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-24-2-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-24-2-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>The equation y=2 tells you that every y-value is 2.<br>First plot some points that have a y-value of 2, such as (\u20133,2) and (\u20131,2).<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-27.png\" alt=\"\" class=\"wp-image-11640\" style=\"width:484px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-27.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-27-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-27-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-27-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p>Now draw a line connecting the points.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-28.png\" alt=\"\" class=\"wp-image-11641\" style=\"width:488px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-28.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-28-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-28-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-28-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#a4edee\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-foreground-color has-text-color has-link-color wp-elements-9a019f9ef6791eaa0d05945e5eee8e3d\">Graph&nbsp;this&nbsp;equation:<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-48b36da41c7a16d07a98d1aaeea804ca\" style=\"color:#b00012\">Click to select points on the graph<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">y=\u20136<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color\" style=\"color:#045601\">\ud83d\udca1The&nbsp;graph of&nbsp;y=\u20136&nbsp;is a horizontal line. Every&nbsp;y-value&nbsp;is&nbsp;\u20136,&nbsp;including the&nbsp;y-intercept.<\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>The&nbsp;equation&nbsp;y=\u20136&nbsp;tells you that every&nbsp;y-value&nbsp;is&nbsp;\u20136.<\/p>\n\n\n\n<p>First&nbsp;plot some points that have a&nbsp;y-value&nbsp;of&nbsp;\u20136,&nbsp;such as&nbsp;(\u20134,\u20136)&nbsp;and&nbsp;(5,\u20136).<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-29-1.png\" alt=\"\" class=\"wp-image-11644\" style=\"width:438px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-29-1.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-29-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-29-1-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-29-1-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div>\n\n\n<p>Now&nbsp;draw a line connecting the&nbsp;points.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-30.png\" alt=\"\" class=\"wp-image-11646\" style=\"width:474px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-30.png 1000w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-30-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-30-150x150.png 150w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/1-30-768x768.png 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure><\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s Practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/83904\/501\/347\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-23.png\" alt=\"\" class=\"wp-image-6744\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-23.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-23-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-23-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/82304\/085\/845\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-36.png\" alt=\"\" class=\"wp-image-6746\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-36.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-36-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-36-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Graph a horizontal or vertical line key notes: The&nbsp;graph of&nbsp;x=3 &nbsp;is a vertical line.&nbsp;every x value is 3, including the x-intercept Graphing a Horizontal Line: Graphing a Vertical Line: Example: Important Tips: Applications: Learn with an example Graph this equation:y=2 Click to select points on the graph. The equation y=2 tells you that every y-value<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/d-17-graph-a-horizontal-or-vertical-line\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.17 Graph a horizontal or vertical line&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-88","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/88","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=88"}],"version-history":[{"count":19,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/88\/revisions"}],"predecessor-version":[{"id":17598,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/88\/revisions\/17598"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=88"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}